Pith Number

pith:FNFPVPSY

pith:2012:FNFPVPSY37KIKNVZTONVPXLMLI

not attested not anchored not stored refs pending

A sharp lower bound for the log canonical threshold

Hoang Hiep Pham, Jean-Pierre Demailly (IF)

arxiv:1201.4086 v2 · 2012-01-19 · math.CV · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FNFPVPSY37KIKNVZTONVPXLMLI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:59:06.636140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b4afabe58dfd48536b99b9b57dd6c5a144eb482380d71ab76bf569fadfc6353

Aliases

arxiv: 1201.4086 · arxiv_version: 1201.4086v2 · doi: 10.48550/arxiv.1201.4086 · pith_short_12: FNFPVPSY37KI · pith_short_16: FNFPVPSY37KIKNVZ · pith_short_8: FNFPVPSY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FNFPVPSY37KIKNVZTONVPXLMLI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2b4afabe58dfd48536b99b9b57dd6c5a144eb482380d71ab76bf569fadfc6353

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a0896778dbbd47633df3e3c2b11fe5eed085ed97406dbc8330450807a973377",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-01-19T15:38:09Z",
    "title_canon_sha256": "b4e7fe88768ccb2857a08e91bd370c115766663e71a3da80110c717ff0f0ec6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4086",
    "kind": "arxiv",
    "version": 2
  }
}